CN104504194A - Building method for taper-changeable composite fiber winding adhesive layer models - Google Patents
Building method for taper-changeable composite fiber winding adhesive layer models Download PDFInfo
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- CN104504194A CN104504194A CN201410795070.0A CN201410795070A CN104504194A CN 104504194 A CN104504194 A CN 104504194A CN 201410795070 A CN201410795070 A CN 201410795070A CN 104504194 A CN104504194 A CN 104504194A
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Abstract
The invention discloses a building method for taper-changeable composite fiber winding adhesive layer models. The building method for the taper-changeable composite fiber winding adhesive layer models is a new method for building three-dimensional solid models of composite fiber winding adhesive layers in virtual three-dimensional environments by a modularized program drive method; according to a winding process of composite fiber winding products, three-dimensional space coordinate parameters of positioning control points on the fiber winding adhesive layers are calculated according to a normalized curvilinear equation, and modeling is realized by combining a three-dimensional design environment characteristic operation method; the problems of coordinate shifting of the positioning control points of the adhesive layers and segmental splicing of space curves both caused at spring layer/ striding ring positions by composite fibers during simulation of the composite fiber winding adhesive layers are solved. The building method can build the composite fiber winding adhesive layer models with any filament winding lengths, and the models have high similarity to actual composite fiber winding adhesive layer products; the three-dimensional composite fiber winding adhesive layer models have wide range of adaptability to taper of winding mandrel bodies and high dimensional accuracy.
Description
Technical field
The invention belongs to computer graphics and d solid modeling technical field, particularly relate to the method for building up that a kind of composition fiber is wound around variable taper glue-line model.
Background technology
Composition fiber is Wrapping formed is by after continuous print fiber impregnated resin glue, and under the effect of fixing tension force, be wound on mandrel according to predetermined relative motion law, shaping rear formation to be solidified has the Filament-wound Machine goods of given shape.It is generally column type or the pyramid type with axisymmetric shape that common composition fiber is wound around product.Conventional manufacture method on mandrel, is wound around fiber according to the movement locus of helix.The characteristics of motion be mandrel around its axis uniform rotation, feeding head presses specific speed along mandrel axis direction back and forth movement, thus realizes spiral winding on the cylindrical shell of mandrel.Composition fiber winding product is widely used on the army and the people's product, has strict technical requirement especially for the particular surroundings such as high capacity, high pressure.Therefore the stress of the dimensional parameters to composition fiber winding product, each node, distortion distribution etc. is needed to carry out finite element analysis under condition of different temperatures.And glue-line is wound around in product the sticky and effect played between composition fiber at composition fiber.Form the complex of multiple material together with composition fiber, thermal stress is complicated.Owing to not having reliable Analytical software at present, the winding parameter that composition fiber is wound around product relies on the experience of designer to determine completely.This mode of production causes the production efficiency being wound around product low, and yield rate is not high.The modeling of a kind of composition fiber winding of urgent need exploitation product and Analytical software meet the needs of engineering reality.
Three-dimensional entity model is the basis of carrying out finite element analysis, and the three-dimensional entity model only having foundation to meet high simulation requirements could provide high-quality analytic target for follow-up various finite element numerical analysis, improves the precision that subsequent simulation calculates.The method that the present invention proposes can generate the composition fiber winding product glue-line model of needs automatically according to the input parameter of user, improve design efficiency.Simultaneously the method can the maximum various cable crossing instances that occur in winding process of analog composite fiber, comprise spring layer and intersect and become circle intersection etc.Make the three-dimensional simulated be wound around the physical dimension of glue-line product three-dimensional entity model and actual product degree of approximation higher.
In prior art, the generation that composition fiber is wound around glue-line model can be divided into column type composition fiber to be wound around product glue-line model and pyramid type composition fiber winding product glue-line model according to the mandrel tapering being wound around mandrel.Because composition fiber is wound around product wrapping wire length General Requirements more than several kilometers and even dozens of kilometres, the difficulty therefore generating this kind of class model is very large.
Summary of the invention
The object of the embodiment of the present invention is to provide a kind of composition fiber variable taper to be wound around the method for building up of glue-line model, be intended to solve in prior art, the mandrel tapering that composition fiber is wound around the generation foundation winding body of glue-line model can be divided into column type composition fiber to be wound around glue-line product and pyramid type composition fiber winding glue-line product, because composition fiber is wound around product wrapping wire length General Requirements more than several kilometers and even dozens of kilometres, therefore generate the problem that this kind of class model difficulty is very large.
The embodiment of the present invention realizes like this, a kind of composition fiber variable taper is wound around the method for building up of glue-line model, this composition fiber variable taper is wound around the method for building up of glue-line model, based on cylindrical screw equation, function realizes in conjunction with Computerized three-dimensional Graphics Transposition Arithmetic the quick calculating being wound around glue-line model center line, and create successively by the center line of whole allocation control points in three-dimensional design environment, calculate the axial cross section center line of every layer of glue-line according to the coordinate parameters of allocation control points and generate the glue-line solid model that there is certain thickness cylinder/pyramid type and do not excise, then be that guide line carries out the three-dimensional composition fiber glue-line product model of excision operation generation to cylinder/pyramid type thin-walled basis glue-line model with center line.
Further, the method for building up of this composition fiber variable taper winding glue-line model specifically comprises the following steps:
Step one, be wound around the basic equation of model center line allocation control points for calculating composition fiber with circular helix equation;
Step 2, self-defined two-dimensional chain table data structure is adopted to form mesh data set, in order to preserve the logical relation between coordinate information on center line allocation control points and coordinate points;
Step 3, employing insert multiple coaxial reference datum and transition section allocation control points, and the way of the allocation control points calculated according to curved line relation and the rotational transform of reference datum one_to_one corresponding, allocation control points is carried out three dimensions rotational transform to reference datum with reference to being wound around axle center, thus realizes the establishment of transition section center line;
Step 4, with computer graphical mapping algorithm calculate meet predefine centrum tapering conical helix composition fiber be wound around model;
Bondline thickness between step 5, calculating adjacent layer, with the allocation control points that the point of contact of adjacent two-layer composition fiber axial cross section circle is the center line of glue-line axial cross section, and from generating between adjacent layer for parameter, there is the certain thickness glue-line not carrying out excision operation with adjacent layer composition fiber cross section distance of center circle;
Step 6, with the cylinder generated/trochoid spiral center line for guide line, to be profile carry out excision operation to glue-line in composition fiber cross section generates the model that composition fiber is wound around glue-line.
Further, when in step one, when calculating the circular helix of original state, in step 2, the coordinate information of the circular helix center line allocation control points calculated and logical relation are saved in self-defining data acquisition.
Further, in step 3, according to the requirement of design accuracy, the axial reference field projection line of helical centre spring layer/across circle position junction curve inserts several allocation control points, and according to insertion allocation control points one to one relation insert several coaxial reference fields, calculate the coordinate parameters inserting allocation control points according to actual form during composition fiber Filament-wound Machine and curve of approximation, and rotate the new allocation control points of formation to the insertion reference field of correspondence.In three-dimensional design space, newly-generated allocation control points curve is coupled together and forms new winding glue-line center of curve line, realize when composition fiber is wound around glue-line spring layer/mutually dodging across circle position.
Further, in step 4, when needing as requested to calculate pyramid type helical wound glue-line model, the data acquisition preserved in step 3 to be carried out computer graphic fractal transform, first carry out axial reference field rotational transform headed by mapping mode, rotational transform that coordinate system translation transformation, allocation control points take initial point as reference point, coordinate system translation inverse transformation and reference field rotate inverse transformation, the conical helix composition fiber being met tapering requirement and dimensional requirement is wound around glue-line model.
Further, in step 4, when needing as requested to calculate column type helical wound glue-line model, then do not carry out computer graphic fractal transform, the data of preserving in step 2 meet the dimensional requirement of circular helix.
Further, cylinder/trochoid spiral the center line of adjustment transition section calculates the point of contact between adjacent layer composition fiber axial cross section circle, then these point of contacts are coupled together the center line forming glue-line axial cross section, based on this center line, generate thickness do not excise glue-line model for composition fiber interlayer thickness.
Further, in three-dimensional environment, not excise glue-line model for object, take conical helix as guide line, generate composition fiber winding glue-line model with composition fiber cross section circle for profile carries out excision to glue-line model.
Composition fiber variable taper provided by the invention is wound around the method for building up of glue-line model, adopts modularized program to drive method in virtual three-dimensional environment, create the new method of the bonding glue-line three-dimensional entity model of composition fiber winding product; Be wound around the winding process of glue-line according to composition fiber, adopt normalized curve equation to calculate and be wound around each allocation control points coordinate in three dimensions on fiber glue-line, the method in conjunction with the operation of three-dimensional design environmental characteristic realizes modeling; Due to the glue-line reference mark coordinate displacement of composition fiber at spring layer/produce across the position of circle, the problem of space curve sectionally smooth join simultaneously when solving the emulation of Filament-wound Machine glue-line.The present invention can create random length composition fiber winding glue-line model and be wound around glue-line product with actual composition fiber has very high similarity; It is large to mandrel body tapering accommodation that composition fiber is wound around glue-line model, and dimensional accuracy is high.
Accompanying drawing explanation
Fig. 1 is the process flow diagram of the method for building up of the composition fiber variable taper winding glue-line model that the embodiment of the present invention provides;
Fig. 2 is the realization flow figure of the method for building up of the composition fiber variable taper winding glue-line model that the embodiment of the present invention provides;
Fig. 3 is that the composition fiber that the embodiment of the present invention provides is wound around glue-line model orientation reference mark network chart;
Fig. 4 is that the composition fiber that the embodiment of the present invention provides is wound around glue-line model spring layer position interlayer relation figure;
Fig. 5 is that the composition fiber that provides of the embodiment of the present invention is wound around glue-line model spring layer and across circle center line trajectory diagram.
Embodiment
In order to make object of the present invention, technical scheme and advantage clearly understand, below in conjunction with embodiment, the present invention is further elaborated.Should be appreciated that specific embodiment described herein only in order to explain the present invention, be not intended to limit the present invention.
Below in conjunction with drawings and the specific embodiments, application principle of the present invention is further described.
As shown in Figure 1, the method for building up of the composition fiber variable taper winding glue-line model of the embodiment of the present invention comprises the following steps:
S101: the basic equation being wound around model center line allocation control points with circular helix equation for calculating composition fiber;
S102: adopt self-defined two-dimensional chain table data structure to form mesh data set, in order to preserve the logical relation between coordinate information on center line allocation control points and coordinate points;
S103: adopt and insert multiple coaxial reference datum and transition section allocation control points, and the way of the allocation control points calculated according to curved line relation and the rotational transform of reference datum one_to_one corresponding, realize the establishment of transition section center line in three-dimensional environment;
S104: calculate with computer graphical mapping algorithm the conical helix composition fiber meeting predefine centrum tapering and be wound around model;
S105: calculate the bondline thickness between adjacent layer, the allocation control points being the center line of glue-line axial cross section with the point of contact of adjacent two-layer composition fiber axial cross section circle, generates the glue-line not carrying out excision operation between adjacent layer;
S106: with the cylinder generated/trochoid spiral center line for guide line, composition fiber cross section is that profile carries out to glue-line the model that excision operation generates composition fiber winding glue-line.
In step S101, when calculating the circular helix of original state, in step S102, the coordinate information of the circular helix center line allocation control points calculated and logical relation are saved in self-defining data acquisition;
In step S103, according to the requirement of design accuracy, the axial reference field projection line of helical centre spring layer/across circle position junction curve inserts several allocation control points, and according to insertion allocation control points one to one relation insert several coaxial reference fields.Calculate the coordinate parameters inserting allocation control points according to actual form during composition fiber Filament-wound Machine and curve of approximation, and form new allocation control points to the insertion reference field projection of correspondence.Newly-generated allocation control points curve is coupled together and forms new winding glue-line center of curve line.Can realize when composition fiber is wound around glue-line at spring layer/across circle mutually the dodging of position.
In step S104, when needing as requested to calculate pyramid type helical wound glue-line model, the data acquisition preserved be carried out computer graphic fractal transform in step S103.First carry out axial reference field rotational transform headed by mapping mode, rotational transform that coordinate system translation transformation, allocation control points take initial point as reference point, coordinate system translation inverse transformation and reference field rotate inverse transformation, the conical helix composition fiber that can be met tapering requirement and dimensional requirement is wound around glue-line model;
In step S104, when needing as requested to calculate column type helical wound glue-line model, then do not carry out computer graphic fractal transform.The data of preserving in step s 103 meet the dimensional requirement of circular helix.
In step S105, cylinder/trochoid spiral the center line of adjustment transition section calculates the point of contact between adjacent layer composition fiber axial cross section circle, then these point of contacts are coupled together the center line forming glue-line axial cross section, based on this center line, generate thickness do not excise glue-line model for composition fiber interlayer thickness.
In step S106, conical helix is guide line, can generate composition fiber winding glue-line model with composition fiber cross section circle for profile carries out excision to glue-line model.
The present invention's function based on cylindrical screw curve realizes in conjunction with computer graphical mapping algorithm the quick calculating being wound around glue-line model center line, and in three-dimensional design environment, based on center line allocation control points, draw spirality excision trace centerline, then calculate glue-line axial cross section center line and generate the cylinder/pyramid type glue-line three-dimensional model do not excised, finally excision is carried out to glue-line model and generate three-dimensional composition fiber glue-line product model.
Concrete steps of the present invention are:
The present invention take VC as developing instrument, SolidWorks is a kind of cylinder of the normalization based on computer graphic fractal transform of developing platform/trochoid spiral winding glue-line model construction method.This method can realize the three-dimensional structure being wound around glue-line model fast, and the design process of simplified model, its design cycle as shown in Figure 2.
The basic line creating composition fiber winding glue-line three-dimensional entity model in the present invention is the centreline control point coordinate parameters first building composition fiber, then adopts the method for scanning excision or setting-out excision in SolidWorks three-dimensional software to generate three-dimensional entity model.Therefore can build the multi-layer helical shape center line being wound around model smoothly and become conclusive condition.Model of creation has needed three steps: 1. based on the modularization functional transformation of computer graphics; 2. positioning control spot net is set up; 3. the problem of special allocation control points displacement; 4. based on the modularization functional transformation of computer graphics;
the establishment of basis glue-line and excision operation, specifically comprise the following steps:
Step one, the modularization functional transformation based on computer graphics:
First the wrapping wire length due to the composition fiber winding body of reality is very long, generally to reach tens or tens kilometers, the mode of manual input therefore can not be relied on when designing cylinder/circular cone and being wound around the three-dimensional spiral center line of model to input the allocation control points of three-dimensional curve.Suitable mathematical formulae must be adopted to generate whole allocation control points according to designing requirement.
Step 2, allocation control points parameter information network:
The data of the center line allocation control points of composition fiber winding glue-line model store and express and play an important role in whole Parametric designing procedure, and follow-up various computation processes all will be carried out according to the information that allocation control points is preserved.The information of allocation control points not only preserves coordinate information, but also preserves the information of place layer circle.Except the information of allocation control points itself, also to preserve the logical relation information between allocation control points.
Step 3, spring layer with across the node control of enclosing:
When designing the three-dimensional entity model of composition fiber winding glue-line model except creating the winding composition fiber of multilayer, also need to solve three-dimensional entity model and how to simulate two problems in Filament-wound Machine process: 1. spring layer interference be when cable by n-th layer to (n+1)th layer of transition time, due to interference problem when three-dimensional software cannot identify that fiber interlocks automatically, just there will be the problem of mutually interfering between fiber.2. across circle interference be generate be wound around model time when fiber by m enclose to m+1 circle transition time, there will be interfibrous interference problem equally.
Step 4, the modularization functional transformation based on computer graphics:
With Computerized three-dimensional Graphics Transposition Arithmetic, center line coordinate control point set queueing discipline is transformed to the pyramid type data acquisition meeting predefine centrum tapering by column type.
Step 5, the establishment of basic glue-line and excision operation:
Bonding glue-line between composition fiber is that adopting being in thickness between adjacent winding layer is that the cylinder/cone of adjacent layer spacing carries out excising and realizes.The track of excision operation is the helix that front step generates, and profile is the axial cross section circle of composition fiber.
In above-mentioned steps one, adopt cylinder/conical helix normalizing equation as the mathematical model of Filament-wound Machine glue-line model center line, when creating pyramid type composition fiber and being wound around glue-line model, conical helix equation is obtained through coordinate transform and computer graphic fractal transform by circular helix equation.Adopt this model can calculate the coordinate parameters of each sampled point on composition fiber easily, be then converted into conical helix.And be convenient to calculate the coordinate parameters having and be wound around defect composition fiber sampled point in the emulation of follow-up Filament-wound Machine error.
In above-mentioned steps two, the form of the two-dimentional double-linked circular list that employing improves organizes the relation between each node.The type of node comprises three types: 1. start node 2. layer beginning node and 3. allocation control points three types.Wherein start node is preserved composition fiber and is wound around glue-line model total length, the information such as the number of plies and the number of turns; Layer beginning node comprises the contents such as the logical relation of forerunner and succeeding layer and the coordinate information of this layer of first node; Allocation control points node comprises this reference mark coordinate information, place level number, place circle number and the content such as associated pointers information.The present invention creates two-dimentional double-linked circular list, and its feature comprises: arrange doubly linked list between the beginning node of every layer, point to layer beginning node pointer can quick position to the precursor layer of this layer and succeeding layer; Be provided with between each allocation control points node of every layer and point to forerunner and follow-up pointer, point to this Controlling vertex pointer can quick position to the forerunner of this node and descendant node; Conveniently the traversal of data is provided with the unidirectional traversal pointer successively from first allocation control points node to last allocation control points node in addition, and data acquisition as shown in Figure 3.
In the allocation control points logical organization that the present invention creates, controlled the position of the layer of current accessed by the pointer of the start node of sensing winding layer, just can judge whether current point is in by the pointer pointing to allocation control points by the place number of turns numbering reading allocation control points and still be in the normal position be wound around across circle position.The sequence number attribute of access control node can provide current allocation control points relative to the orientation angle of reference plane.Each allocation control points be wound around in glue-line model for composition fiber like this can both control its position, and positions as required and adjust.The data acquisition adopted in literary composition has stronger extendability, can add extra attribute as required, facilitate developer to carry out deeper control to model to layer initial node and allocation control points node.
In above-mentioned steps three, the method solving these two kinds of problems is between the end-node and the beginning node of (n+1)th layer of n-th layer and several interim allocation control points of dynamic insertion of the end-node of m circle and m+1 circle, the allocation control points guiding curve temporarily added by these carries out dodging each other, avoids the situation occurring interfering.
For the allocation control points correction at spring layer position, need the controlling curve determining these allocation control points places, the projection relation at spring layer position as shown in Figure 4.In Fig. 4, between the last node of i-th layer and the beginning node of the i-th+1 layer, spatial relationship is, is θ relative to the angle of turning axle two allocation control points being wound around glue-line model respectively and between the reference surface that forms of turning axle.First several new middle reference field J can be inserted between two reference fields
i(i=1 ~ N).Then the node at the whole story of adjacent layer is projected on same reference field, result as shown in Figure 5, due to fiber, there is certain rigidity and certain pulling force will be subject in the process be wound around, therefore being described as by the track of center line of can being similar to is made up of three sections of line segments, comprising circular arc line segment and the middle straight-line segment at two ends.Two sections of circular arc line segments are respectively: be from the end-node of i-th layer to intermediate node A and from intermediate node B to the i-th+1 layer beginning node circular arc line segment because it is move around the outside surface of other fibers that cable under tension when being wound around acts on these two sections.Be straight-line segment between intermediate node A to B, line segment can not be absorbed in the raceway groove between from coil to coil when the some circles of leap lower floor.To determine this track after center line track to middle reference field J
kon project.Each reference field projects a point, is finally coupled together by whole subpoints and forms new center line track.
For across the position disposal route of circle and spring layer similar, between the end-node and the beginning node of the i-th+1 layer the 2nd circle of the i-th+1 layer as shown in Figure 5 the 1st circle, insert several decile reference fields, then the whole story is projected to pointwise in reference field race by the center line across circle position of intermediate node between node.Finally these subpoints are coupled together and form new center line.
In above-mentioned steps four, meet the data acquisition of circular helix equation
any allocation control points M has a subpoint N in (X, Y) plane, changes to conic section for realizing cylinder curve, first by XOZ plane around Z axis rotate to N point overlapping position; Transformation matrix is
。When the tapering change of composition fiber winding body due to the diameter unchangeability of composition fiber model, then the distance put between M to some N is constant, namely puts M and has turned at new XOZ plane internal rotation around a N
angle.Need coordinate axis to be moved to a N place at the postrotational coordinate time of calculation level M, transformation matrix is
; Next carries out rotational transform, and transformation matrix is
; Again coordinate system is retracted initial point, transformation matrix is
.Finally XOZ plane is returned initial position, transformation matrix is
.Therefore the point coordinate parameter meeting trochoid spiral curve can adopt the method to the point on circular helix carries out computer graphic fractal transform to calculate.When creating column type composition fiber and being wound around model, then do not carry out geometric figure conversion.
In above-mentioned steps five, the allocation control points of model center line is wound around by composition fiber, successively can calculate the axial cross section center line of glue-line, and successively can calculate the thickness parameter of glue-line, can successively create glue-line model according to the center line of glue-line and thickness parameter, then excision operation be carried out to it and generate final composition fiber and be wound around glue-line model.
Compared with prior art, advantage of the present invention is: the composition fiber glue-line mathematical model 1. proposed in the present invention and positioning control point calculating method have reference mark coordinate and calculate simple; Large to winding body tapering parameter adaptation scope; Between allocation control points, logical relation represents comprehensive advantage.The comparatively complicated cone curvilinear coordinates that solves is converted to the result solving cylinder curvilinear coordinates and a series of computer graphic fractal transform, for follow-up winding body defects simulation and mechanical analysis provide good data and logical relation support by the method.2. the driven by program method adopted herein can realize the establishment of the composition fiber winding glue-line model of random length dimensional requirement completely, for follow-up numerical analysis provides the good analytical model of quality, the ultimate value of length is only subject to the performance impact of software and computing machine.
In conjunction with following embodiment, effect of the present invention is described further:
Embodiment 1: a kind of structure composition fiber based on cylindrical screw curve and computer graphic fractal transform is wound around the method for glue-line model, comprises the steps:
Step one: the diameter and the helix axial length that are wound around the designing requirement determination right cylinder helix equation of product according to composition fiber, then clears out by right cylinder helix equation the coordinate figure that composition fiber is wound around the whole allocation control points of model center line;
Step 2: the mesh data set creating composition fiber center line allocation control points as shown in Figure 3, wherein preserves the logical relation between the coordinate parameters of the whole center line allocation control points calculated by column type helix and allocation control points;
Step 3: for spring layer/across circle position allocation control points correction, need at spring layer/evenly insert the coaxial reference field of some allocation control points and equal number across circle position, reference field crosses Z axis and an allocation control points, due to fiber, there is certain rigidity and certain pulling force will be subject in the process be wound around, therefore being described as by the track of the center line at spring layer position of can being similar to is made up of three sections of line segments, comprising circular arc line segment and the middle straight-line segment at two ends; Centreline definition across circle position is one section of circular arc, because the allocation control points inserted is uniformly distributed, the coordinate parameters of the insertion point that makes new advances can be calculated, then projection the allocation control points of insertion is joined existing allocation control points data acquisition on the reference field of correspondence by the equation of circular arc and straight-line segment
in;
Step 4: model is wound around, in mesh data set for pyramid type composition fiber
Any allocation control points M of middle preservation has a subpoint N in (X, Y) plane, changes to conic section for realizing cylinder curve, first by XOZ plane around Z axis rotate to N point overlapping position; Transformation matrix is
, when the tapering change of composition fiber winding body due to the diameter unchangeability of composition fiber model, then the distance put between M to some N is constant, namely puts M and has turned at new XOZ plane internal rotation around a N
angle, need coordinate axis to be moved to a N place at the postrotational coordinate time of calculation level M, transformation matrix is
; Next carries out rotational transform, and transformation matrix is
; Again again coordinate system is retracted initial point, transformation matrix is
, finally XOZ plane is returned initial position, transformation matrix is
, the pyramid type center line of composition fiber winding body can be calculated accordingly;
Step 5: calculate the point of contact between the circle of adjacent winding layer composition fiber cross section based on the cylinder/conical helix calculated, using the axial cross section center line of the line between point of contact as glue-line, generating thickness is the basic glue-line model being wound around model adjacent layer spacing, then with cylinder/conical helix for guide line, composition fiber cross section circle carries out excision operation for profile to basic glue-line model, generates the glue-line model of composition fiber winding body.
Embodiment 2: a kind of structure composition fiber based on cylindrical screw curve and computer graphic fractal transform is wound around the method for glue-line model:
Step one: the spacing being wound around the designing requirement determination right cylinder helix equation of product according to composition fiber, then clears out by right cylinder helix equation the coordinate figure that composition fiber is wound around the whole allocation control points of model center line;
Step 2: the mesh data set creating composition fiber center line allocation control points as shown in Figure 3, wherein preserves the logical relation between the coordinate parameters of the whole center line allocation control points calculated by column type helix and allocation control points;
Step 3: for spring layer/across circle position allocation control points correction, need at spring layer/evenly insert the coaxial reference field of some allocation control points and equal number across circle position, reference field crosses Z axis and an allocation control points, due to fiber, there is certain rigidity and certain pulling force will be subject in the process be wound around, therefore being described as by the track of the center line at spring layer position of can being similar to is made up of three sections of line segments, comprising circular arc line segment and the middle straight-line segment at two ends; Centreline definition across circle position is one section of circular arc, because the allocation control points inserted is uniformly distributed, the coordinate parameters of the insertion point that makes new advances can be calculated, then projection the allocation control points of insertion is joined existing allocation control points data acquisition on the reference field of correspondence by the equation of circular arc and straight-line segment
in;
Step 4: model is wound around, in mesh data set for pyramid type composition fiber
Any allocation control points M of middle preservation has a subpoint N in (X, Y) plane, changes to conic section for realizing cylinder curve, first by XOZ plane around Z axis rotate to N point overlapping position; Transformation matrix is
, when the tapering change of composition fiber winding body due to the diameter unchangeability of composition fiber model, then the distance put between M to some N is constant, namely puts M and has turned at new XOZ plane internal rotation around a N
angle, need coordinate axis to be moved to a N place at the postrotational coordinate time of calculation level M, transformation matrix is
; Next carries out rotational transform, and transformation matrix is
; Again again coordinate system is retracted initial point, transformation matrix is
, finally XOZ plane is returned initial position, transformation matrix is
, the pyramid type center line of composition fiber winding body can be calculated accordingly;
Step 5: calculate the point of contact between the circle of adjacent winding layer composition fiber cross section based on the cylinder/conical helix calculated, using the axial cross section center line of the line between point of contact as glue-line, generating thickness is the basic glue-line model being wound around model adjacent layer spacing, then with cylinder/conical helix for guide line, composition fiber cross section circle carries out excision operation for profile to basic glue-line model, generates the glue-line model of composition fiber winding body.
Embodiment 3: a kind of structure composition fiber based on cylindrical screw curve and computer graphic fractal transform is wound around the method for glue-line model:
Step one: be wound around the diameter of the designing requirement determination right cylinder helix equation of product, helix axial length and spiral pitch according to composition fiber, then clears out by right cylinder helix equation the coordinate figure that composition fiber is wound around the whole allocation control points of model center line;
Step 2: the mesh data set creating composition fiber center line allocation control points as shown in Figure 3, wherein preserves the logical relation between the coordinate parameters of the whole center line allocation control points calculated by column type helix and allocation control points;
Step 3: for spring layer/across circle position allocation control points correction, need at spring layer/evenly insert the coaxial reference field of some allocation control points and equal number across circle position, reference field crosses Z axis and an allocation control points, due to fiber, there is certain rigidity and certain pulling force will be subject in the process be wound around, therefore being described as by the track of the center line at spring layer position of can being similar to is made up of three sections of line segments, comprising circular arc line segment and the middle straight-line segment at two ends; Centreline definition across circle position is one section of circular arc, because the allocation control points inserted is uniformly distributed, the coordinate parameters of the insertion point that makes new advances can be calculated, then projection the allocation control points of insertion is joined existing allocation control points data acquisition on the reference field of correspondence by the equation of circular arc and straight-line segment
in;
Step 4: model is wound around, in mesh data set for pyramid type composition fiber
Any allocation control points M of middle preservation has a subpoint N in (X, Y) plane, changes to conic section for realizing cylinder curve, first by XOZ plane around Z axis rotate to N point overlapping position; Transformation matrix is
, when the tapering change of composition fiber winding body due to the diameter unchangeability of composition fiber model, then the distance put between M to some N is constant, namely puts M and has turned at new XOZ plane internal rotation around a N
angle, need coordinate axis to be moved to a N place at the postrotational coordinate time of calculation level M, transformation matrix is
; Next carries out rotational transform, and transformation matrix is
; Again again coordinate system is retracted initial point, transformation matrix is
, finally XOZ plane is returned initial position, transformation matrix is
, the pyramid type center line of composition fiber winding body can be calculated accordingly;
Step 5: calculate the point of contact between the circle of adjacent winding layer composition fiber cross section based on the cylinder/conical helix calculated, using the axial cross section center line of the line between point of contact as glue-line, generating thickness is the basic glue-line model being wound around model adjacent layer spacing, then with cylinder/conical helix for guide line, composition fiber cross section circle carries out excision operation for profile to basic glue-line model, generates the glue-line model of composition fiber winding body.
Embodiment 4: a kind of structure composition fiber based on cylindrical screw curve and computer graphic fractal transform is wound around the method for glue-line model:
Step one: the diameter and the helix axial length that are wound around the designing requirement determination right cylinder helix equation of product according to composition fiber, then clears out by right cylinder helix equation the coordinate figure that composition fiber is wound around the whole allocation control points of model center line;
Step 2: the mesh data set creating composition fiber center line allocation control points as shown in Figure 3, wherein preserves the logical relation between the coordinate parameters of the whole center line allocation control points calculated by column type helix and allocation control points;
Step 3: for spring layer/across circle position allocation control points correction, need at spring layer/evenly insert the coaxial reference field of some allocation control points and equal number across circle position, reference field crosses Z axis and an allocation control points, due to fiber, there is certain rigidity and certain pulling force will be subject in the process be wound around, therefore being described as by the track of the center line at spring layer position of can being similar to is made up of three sections of line segments, comprising circular arc line segment and the middle straight-line segment at two ends; Centreline definition across circle position is one section of circular arc, because the allocation control points inserted is uniformly distributed, the coordinate parameters of the insertion point that makes new advances can be calculated, then projection the allocation control points of insertion is joined existing allocation control points data acquisition on the reference field of correspondence by the equation of circular arc and straight-line segment
in;
Step 4: with the column type center line locating point data set calculated
based on calculate adjacent winding layer composition fiber cross section circle between point of contact, using the axial cross section center line of the line between point of contact as glue-line, generating thickness is the basic glue-line model being wound around model adjacent layer spacing, then with cylinder/conical helix for guide line, composition fiber cross section circle carries out excision operation for profile to basic glue-line model, generates the glue-line model of composition fiber winding body.
Embodiment 5: a kind of structure composition fiber based on cylindrical screw curve and computer graphic fractal transform is wound around the method for glue-line model:
Step one: the spiral pitch being wound around the designing requirement determination right cylinder helix equation of product according to composition fiber, then clears out by right cylinder helix equation the coordinate figure that composition fiber is wound around the whole allocation control points of model center line;
Step 2: the mesh data set creating composition fiber center line allocation control points as shown in Figure 3, wherein preserves the logical relation between the coordinate parameters of the whole center line allocation control points calculated by column type helix and allocation control points;
Step 3: for spring layer/across circle position allocation control points correction, need at spring layer/evenly insert the coaxial reference field of some allocation control points and equal number across circle position, reference field crosses Z axis and an allocation control points, due to fiber, there is certain rigidity and certain pulling force will be subject in the process be wound around, therefore being described as by the track of the center line at spring layer position of can being similar to is made up of three sections of line segments, comprising circular arc line segment and the middle straight-line segment at two ends; Centreline definition across circle position is one section of circular arc, because the allocation control points inserted is uniformly distributed, the coordinate parameters of the insertion point that makes new advances can be calculated, then projection the allocation control points of insertion is joined existing allocation control points data acquisition on the reference field of correspondence by the equation of circular arc and straight-line segment
in;
Step 4: with the column type center line locating point data set calculated
based on calculate adjacent winding layer composition fiber cross section circle between point of contact, using the axial cross section center line of the line between point of contact as glue-line, generating thickness is the basic glue-line model being wound around model adjacent layer spacing, then with cylinder/conical helix for guide line, composition fiber cross section circle carries out excision operation for profile to basic glue-line model, generates the glue-line model of composition fiber winding body.
Embodiment 6: a kind of structure composition fiber based on cylindrical screw curve and computer graphic fractal transform is wound around the method for glue-line model:
Step one: be wound around the diameter of the designing requirement determination right cylinder helix equation of product, helix axial length and spiral pitch according to composition fiber, then clears out by right cylinder helix equation the coordinate figure that composition fiber is wound around the whole allocation control points of model center line;
Step 2: the mesh data set creating composition fiber center line allocation control points as shown in Figure 3, wherein preserves the logical relation between the coordinate parameters of the whole center line allocation control points calculated by column type helix and allocation control points;
Step 3: for spring layer/across circle position allocation control points correction, need at spring layer/evenly insert the coaxial reference field of some allocation control points and equal number across circle position, reference field crosses Z axis and an allocation control points, due to fiber, there is certain rigidity and certain pulling force will be subject in the process be wound around, therefore being described as by the track of the center line at spring layer position of can being similar to is made up of three sections of line segments, comprising circular arc line segment and the middle straight-line segment at two ends; Centreline definition across circle position is one section of circular arc, because the allocation control points inserted is uniformly distributed, the coordinate parameters of the insertion point that makes new advances can be calculated, then projection the allocation control points of insertion is joined existing allocation control points data acquisition on the reference field of correspondence by the equation of circular arc and straight-line segment
in;
Step 4: with the column type center line locating point data set calculated
based on calculate adjacent winding layer composition fiber cross section circle between point of contact, using the axial cross section center line of the line between point of contact as glue-line, generating thickness is the basic glue-line model being wound around model adjacent layer spacing, then with cylinder/conical helix for guide line, composition fiber cross section circle carries out excision operation for profile to basic glue-line model, generates the glue-line model of composition fiber winding body.
The foregoing is only preferred embodiment of the present invention, not in order to limit the present invention, all any amendments done within the spirit and principles in the present invention, equivalent replacement and improvement etc., all should be included within protection scope of the present invention.
Claims (8)
1. the method for building up of a composition fiber variable taper winding glue-line model, it is characterized in that, this composition fiber variable taper is wound around the method for building up of glue-line model, and based on cylindrical screw curve, mathematical model realizes in conjunction with Computerized three-dimensional Graphics Transposition Arithmetic the quick calculating that cylinder/pyramid type is wound around glue-line model center line allocation control points parameter; In three-dimensional design environment, import centreline control point coordinate parameters, and create the center curve by whole reference mark; Generate according to glue-line position and there is cylinder/pyramid type thin-walled model that certain thickness three-dimensional composition fiber glue-line do not excise, be finally track with helical centre line, composition fiber cross section generates last glue-line three-dimensional entity model for profile carries out excision operation to the cylinder do not excised/pyramid type thin-walled model.
2. composition fiber variable taper as claimed in claim 1 is wound around the method for building up of glue-line model, it is characterized in that, the method for building up that this composition fiber variable taper is wound around glue-line model specifically comprises the following steps:
Step one, be wound around the basic equation of model center line allocation control points for calculating composition fiber with circular helix equation;
Step 2, self-defined two-dimensional chain table data structure is adopted to form mesh data set, in order to preserve the logical relation between coordinate information on center line allocation control points and coordinate points;
Step 3, adopt and insert multiple coaxial reference datum and transition section allocation control points, and the way that the allocation control points calculated according to curved line relation and reference datum one_to_one corresponding project realizes the establishment of transition section center line;
Step 4, with computer graphical mapping algorithm calculate meet predefine centrum tapering conical helix composition fiber be wound around model;
Bondline thickness between step 5, calculating adjacent layer, the center line allocation control points being glue-line axial cross section with the point of contact of adjacent two-layer composition fiber axial cross section circle, generates the glue-line not carrying out excision operation between adjacent layer;
Step 6, with the cylinder generated/trochoid spiral center line for guide line, to be profile carry out excision operation to glue-line in composition fiber cross section generates the model that composition fiber is wound around glue-line.
3. composition fiber variable taper as claimed in claim 2 is wound around the method for building up of glue-line model, it is characterized in that, when in step one, when calculating the column type helix of original state, in step 2, the coordinate parameters of the circular helix center line allocation control points calculated and logical relation are saved in self-defining data acquisition;
And set up data acquisition
, wherein
for the set of spatial point, and for the arbitrfary point in set
meet circular helix equation
,
for the logical relation between the three dimensions point that comprises in data acquisition.
4. composition fiber variable taper as claimed in claim 2 is wound around the method for building up of glue-line model, it is characterized in that, in step 3, according to the requirement of design accuracy, the axial reference field projection line of helical centre spring layer/across circle position junction curve inserts several allocation control points
and according to insertion allocation control points one to one relation insert several coaxial reference fields, the coordinate parameters inserting allocation control points is calculated according to actual form during composition fiber Filament-wound Machine and curve of approximation, and form new allocation control points to the insertion reference field rotational transform of correspondence, newly-generated allocation control points curve is coupled together and forms new transition section and be wound around glue-line center line, realize when composition fiber is wound around glue-line spring layer/mutually dodging across circle position;
Here new data acquisition is created
, wherein
for the point data set meeting circular helix equation through spatial alternation;
for newly adding the some set at cross-layer circle position, wherein
.
5. composition fiber variable taper as claimed in claim 2 is wound around the method for building up of glue-line model, it is characterized in that, in step 4, when needing as requested to calculate pyramid type helical wound glue-line model, and the data acquisition that will preserve in step 3
carry out computer graphic fractal transform, headed by mapping mode, first carry out axial reference field rotational transform
, coordinate system translation transformation
, allocation control points take initial point as the rotational transform of reference point
, coordinate system translation inverse transformation
inverse transformation is rotated with reference field
, the pyramid type composition fiber being met tapering requirement and dimensional requirement is wound around glue-line model;
And for meeting the three dimensions point set of conical helix equation
in arbitrfary point
can be reduced to is by three dimensions point
with
obtain through three-dimension intensity, namely
, wherein
.
6. composition fiber variable taper as claimed in claim 2 is wound around the method for building up of glue-line model, it is characterized in that, in step 4, when needing as requested to calculate column type helical wound glue-line model, then do not carry out computer graphic fractal transform, the center line coordinate control point data collection preserved in step 3
meet the dimensional requirement that column type is wound around model center line.
7. composition fiber variable taper as claimed in claim 2 is wound around the method for building up of glue-line model, it is characterized in that, calculate the point of contact between adjacent layer composition fiber axial cross section circle according to the cylinder of transition section/trochoid spiral center line, then the point of contact between these adjacent layers is coupled together the center line forming glue-line axial cross section
, what based on this axial cross section center line, generate that thickness is wound around adjacent layer spacing for composition fiber does not excise glue-line model.
8. composition fiber variable taper as claimed in claim 2 is wound around the method for building up of glue-line model, it is characterized in that, not excising glue-line model, take conical helix as guide line, generates composition fiber winding glue-line model with composition fiber cross section circle for profile carries out excision to glue-line model.
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